Here's a fun 1! test this series for convergence sum from n=1 to infinity of (2^1/n - 1)?

i was shown this: an = 2^1/n -1 = (2^1/n - 1)(2^n-1/n + 2^n-2/n +.....+ 2^0/n)/(2^n-1/n +.....+2^0/n) which is apparently its conjugate. can you tell me who this conjugate was derived? is it binomial series expansion?